{
  "id": "1609.03757",
  "version": "v1",
  "published": "2016-09-13T10:36:15.000Z",
  "updated": "2016-09-13T10:36:15.000Z",
  "title": "Lebesgue spectrum for area preserving flows on the two torus",
  "authors": [
    "Bassam Fayad",
    "Giovanni Forni",
    "Adam Kanigowski"
  ],
  "comment": "7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the spectral measures of area preserving mixing flows on the torus having one degenerate singularity. We show that, for a sufficiently strong singularity, the maximal spectral type of these flows is typically Lebesgue measure on the line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-13T10:36:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "area preserving flows",
      "lebesgue spectrum",
      "maximal spectral type",
      "degenerate singularity",
      "sufficiently strong singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}